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Finding the Fourth Proportional to 34,557.92, 47,690 and 19,653.92

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Solution

The fourth proportional to 34,557.92, 47,690 and 19,653.92 is: 27,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,557.92 : 47,690 = 19,653.92 : x
  2. Step 2: Convert to fraction form
    34,557.92/47,690 = 19,653.92/x
  3. Step 3: Cross multiply
    34,557.92x = 47,690 × 19,653.92
  4. Step 4: Simplify right side
    34,557.92x = 937,295,444.80
  5. Step 5: Solve for x
    x = 937,295,444.80/34,557.92
  6. Step 6: Final answer
    x = 27,122.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.